An integrable lattice hierarchy based on Suris system: N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{N}}$$\end{document}-fold Darboux transformation and conservation laws

被引：0
作者：
Qian Li
Deng-Shan Wang
Xiao-Yong Wen
Jian-Hong Zhuang
机构：
[1] Beijing Information Science and Technology University,School of Applied Science
来源：
Nonlinear Dynamics | 2018年 / 91卷 / 1期
关键词：
Integrable lattice hierarchy; Hamiltonian structure; -fold Darboux transformation; Soliton solutions; Conservation laws;
D O I：
10.1007/s11071-017-3898-y
中图分类号：
学科分类号：
摘要：
An integrable lattice hierarchy is constructed from a discrete matrix spectral problem, in which one of the Suris systems is the first member of this hierarchy. Some related properties such as Hamiltonian structure of this lattice hierarchy are discussed. The Suris system is solved by the N-fold Darboux transformation. As a result, the multi-soliton solutions are derived and the soliton structures along with the interaction behaviors among solitons are shown graphically. Finally, the infinitely many conservation laws of the Suris system are given.
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页码：625 / 639
页数：14
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